Find the LCM of 818, 418, 473, 209, 656 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 818, 418, 473, 209, 656. So, keep reading to learn more.
Given numbers are 818,418,473,209,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,418,473,209,656 is 2411248048.
Find LCM of 818,418,473,209,656 with Prime Factorization
2 | 818, 418, 473, 209, 656 |
11 | 409, 209, 473, 209, 328 |
19 | 409, 19, 43, 19, 328 |
409, 1, 43, 1, 328 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 409 x 1 x 43 x 1 x 328 = 2411248048
Therefore, the lowest common multiple of 818,418,473,209,656 is 2411248048.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
818 x 418 x 473 x 209 x 656 = 22173837049408
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
818 : 1, 2, 409, 818
418 : 1, 2, 11, 19, 22, 38, 209, 418
473 : 1, 11, 43, 473
209 : 1, 11, 19, 209
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,418,473,209,656, is 1.
Now, the common factors can be found like this.
818:2x 409
418:2x 11x 19
473:11x 43
209:11x 19
656:2x 2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 11x 19 = 9196
Therefore, the value for common factors is 9196.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 22173837049408/(1x9196)
LCM = 22173837049408/9196
LCM = 2411248048
Thus, we can understand that the LCM of 818,418,473,209,656 is 2411248048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 418, 473, 209, 656?
Answer: LCM of 818, 418, 473, 209, 656 is 2411248048.
2. How to calculate the LCM of 818, 418, 473, 209, 656?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 818, 418, 473, 209, 656.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.